| Associate Professor | Math Discipline | UMM | 2003- | UMM Research Award |
| Assistant Professor | Math Discipline | UMM | 1999-2003 | |
| Assistant Professor | Math Department | Rutgers University | 1996-1999 | |
| Bateman Instructor | Math Department | Caltech | 1994-1996 | |
| Assistant Professor | Math Department | University of Toronto | 1991-1994 | |
| Dickson Instructor | Math Department | University of Chicago | 1988-1991 | |
| M.A., Ph.D. | Math Department | Harvard University | 1983-1988 | Sloan Dissertation Award |
| N.S.F. Graduate Fellowship | ||||
| A.B. | Math Department | Princeton University | 1979-1983 | Summa cum laude |